Theorem ndalle-P7.18.CL 909

Description: Closed Form of ndalle-P7.18 843. †

Assertion

Ref	Expression
ndalle-P7.18.CL	⊢ (∀𝑥𝜑 → [𝑡 / 𝑥]𝜑)

Proof of Theorem ndalle-P7.18.CL

Step	Hyp	Ref	Expression
1		rcp-NDASM1of1 192	. 2 ⊢ (∀𝑥𝜑 → ∀𝑥𝜑)
2	1	ndalle-P7.18 843	1 ⊢ (∀𝑥𝜑 → [𝑡 / 𝑥]𝜑)

Syntax hints:  ∀wff-forall 8   → wff-imp 10  [wff-psub 714

This theorem was proved from axioms:  ax-L1 11  ax-L2 12  ax-L3 13  ax-MP 14  ax-GEN 15  ax-L4 16  ax-L5 17

This theorem depends on definitions:  df-bi-D2.1 107  df-and-D2.2 133  df-true-D2.4 155  df-psub-D6.2 716

This theorem is referenced by:  axL4-P7  945  cbvall-P7-L1  1060